Optimal investment with inside information and parameter uncertainty |
| |
Authors: | Albina Danilova Michael Monoyios Andrew Ng |
| |
Institution: | 1.Department of Mathematics,London School of Economics and Political Science,London,UK;2.Mathematical Institute,University of Oxford,Oxford,UK |
| |
Abstract: | An optimal investment problem is solved for an insider who has access to noisy information related to a future stock price,
but who does not know the stock price drift. The drift is filtered from a combination of price observations and the privileged
information, fusing a partial information scenario with enlargement of filtration techniques. We apply a variant of the Kalman–Bucy
filter to infer a signal, given a combination of an observation process and some additional information. This converts the
combined partial and inside information model to a full information model, and the associated investment problem for HARA
utility is explicitly solved via duality methods. We consider the cases in which the agent has information on the terminal
value of the Brownian motion driving the stock, and on the terminal stock price itself. Comparisons are drawn with the classical
partial information case without insider knowledge. The parameter uncertainty results in stock price inside information being
more valuable than Brownian information, and perfect knowledge of the future stock price leads to infinite additional utility.
This is in contrast to the conventional case in which the stock drift is assumed known, in which perfect information of any
kind leads to unbounded additional utility, since stock price information is then indistinguishable from Brownian information. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|